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3181331813 = 112910979091
BaseRepresentation
bin1011110110011111…
…0100010101100101
322012201020101211012
42331213310111211
523003410104223
61243402552005
7141556605602
oct27547642545
98181211735
103181331813
111392862750
12749508605
133b913367a
142227296a9
15139461c78
hexbd9f4565

3181331813 has 16 divisors (see below), whose sum is σ = 3593885760. Its totient is φ = 2789539200.

The previous prime is 3181331767. The next prime is 3181331831.

3181331813 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3181331813 - 26 = 3181331749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3181331813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181331843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345398 + ... + 354488.

It is an arithmetic number, because the mean of its divisors is an integer number (224617860).

Almost surely, 23181331813 is an apocalyptic number.

It is an amenable number.

3181331813 is a deficient number, since it is larger than the sum of its proper divisors (412553947).

3181331813 is a wasteful number, since it uses less digits than its factorization.

3181331813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228.

The product of its digits is 5184, while the sum is 32.

The square root of 3181331813 is about 56403.2961182234. The cubic root of 3181331813 is about 1470.7414176832.

The spelling of 3181331813 in words is "three billion, one hundred eighty-one million, three hundred thirty-one thousand, eight hundred thirteen".

Divisors: 1 11 29 319 1097 9091 12067 31813 100001 263639 349943 2900029 9972827 109701097 289211983 3181331813